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brendijadq

brendijadq

Answered question

2022-05-24

Given x 2 x y + y 2 = 15 , x y + x + y = 13 find the value of x 2 + 6 y

Answer & Explanation

asafand2c

asafand2c

Beginner2022-05-25Added 11 answers

HINT:
We have,
x 2 x y + y 2 + 3 ( x y + x + y ) = 15 + 3 13
( x + y ) 2 + 3 ( x + y ) 54 = 0
Solve for x + y
Kash Brennan

Kash Brennan

Beginner2022-05-26Added 4 answers

Changing unknowns: u = x + y ,   v = x y you get:
u 2 3 v = 15 ,       u + v = 13.
from here
u 1 = 6 ,     v 1 = 7 ,
u 2 = 9 ,     v 2 = 22
etc.

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